273296 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 120960.

The previous prime is 273289. The next prime is 273311. The reversal of 273296 is 692372.

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (4536) is a multiple of the sum of its prime divisors (81).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273296.

It is an unprimeable number.

273296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8801 + ... + 8831.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²⁷³²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

273296 is an abundant number, since it is smaller than the sum of its proper divisors (321904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

273296 is a wasteful number, since it uses less digits than its factorization.

273296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 273296 is about 522.7771991968. Note that the first 3 decimals coincide. The cubic root of 273296 is about 64.8949783350.

It can be divided in two parts, 273 and 296, that multiplied together give a palindrome (80808).

The spelling of 273296 in words is "two hundred seventy-three thousand, two hundred ninety-six".